Weakly nonlocal solitary waves and beyond-all-orders asymptotics : generalized solitons and hyperasymptotic perturbation theory
Author(s)
Bibliographic Information
Weakly nonlocal solitary waves and beyond-all-orders asymptotics : generalized solitons and hyperasymptotic perturbation theory
（Mathematics and its applications, v. 442）
Kluwer Academic Publishers, c1998
Available at / 26 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
531.1133/B6922070474892
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Note
Inculdes references (p. 519-[581]) and index
Description and Table of Contents
Description
This is the first thorough examination of weakly nonlocal solitary waves, which are just as important in applications as their classical counterparts. The book describes a class of waves that radiate away from the core of the disturbance but are nevertheless very long-lived nonlinear disturbances.
Table of Contents
Preface. Part I: Overview. 1. Introduction. Part II: Analytical Methods. 2. The Method of Multiple Scales and The epsilon-Power Series. 3. Hyperasymptotic Perturbation Theory. 4. Matched Asymptotic Expansions in the Complex Plane. 5. Stokes' Expansion, Resonance & Polycnoidal Waves. 6. Existence, Non-Existence & Symmetry. Part III: Numerical Methods. 7. Pseudospectral and Galerkin Methods. 8. Nonlinear Algebraic Equations. 9. Special Algorithms for Exponentially Small Phenomena. Part IV: Applications. 10. Water Waves: Fifth-Order Korteweg-De Vries Equation. 11. Rossby & Internal Gravity Waves: Nonlocal Higher Modes. 12. The 4 Breather. 13. Envelope Solitary Waves. 14. Separatrix Splitting & Slow Manifold. 15. Micropterons. Part V: Radiative Decay & Other Exponentially Small Phenomena. 16. Radiative Decay. 17. Non-Soliton Exponentially Small Phenomena. 18. The Future. A: Trigonometric and SECH Identities. B: SECH/TANH Series. C: Elliptic Functions. D: Solitons and Cnoidal Waves. E: Time Integration & Fourier Pseudospectral Algorithm. Glossary. References. Index.
by "Nielsen BookData"